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jekas [21]
3 years ago
8

Can someone help me with this math homework please!

Mathematics
2 answers:
Vera_Pavlovna [14]2 years ago
6 0

Answer:

Step-by-step explanation:

juin [17]3 years ago
3 0

Answer:

1: (C)

2: (C)

3: (D)

4: (A)

5: (D)

Step-by-step explanation:

<u>1: "Which could be the entire interval over which the function, f(x), is negative?"</u>

When f(x) is negative, that means the values under the f(x) column is negative. As you can see, -16 & -8 are the only times when f(x) is negative. To find the interval, we are going to use x-values. Notice how as x continues to decrease, f(x) also decreases. So the answer is (-infinity, -6).

<u>2: "Which equation represents the graphed function?"</u>

Looking at the graph, we see that the y-intercept is (0, -2). However, all the answer choices have the correct y-intercept, so now we must focus on getting the correct slope. The slope is positive, so the answer is either (A) or (C). To find the correct answer, use the rise/run method from (0, -2) to (4, -1). You rise 1 and run 4, so the slope is 1/4. The answer is y = 1/4x - 2.

<u>3: "If f(1) = 10, what is f(3)?"</u>

I honestly don't know how to do this one. I looked it up on Brainly and some other people said the answer is 30. Credits to dragonheartedking on Brainly.

<u>4: "Which table represents a linear function?"</u>

Table A represents a linear function because each time x increases by 1, y increases by the same amount of 4 each time. It doesn't fluctuate like the rest of the answer choices.

<u>5: "How many units below the y-intercept of g(x) is the y-intercept of f(x)?"</u>

The y-intercept is the point where the function intersects with the y-axis. We start from (0, 2) and count the units as we reach (0, -1). The answer is 3 units.

Hope this helps (●'◡'●)

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Answers:

Lower bound = 41.3

Upper bound = 41.5

===========================================================

Explanation:

49.15 is the smallest f can be while 49.24 is the largest it can be. Well technically we could have something like 49.2499 or 49.24999 and so on. We slowly approach 49.25 but never actually get there

So the variable f is between 49.15 and 49.25 inclusive of the first value but excluding the second value. We can write it as 49.15 \le f < 49.25

For similar reasoning, 7.75 \le g < 7.85

-----------------

If we wanted to subtract those variables and get the smallest result possible, then we need to pick values that are closest together. It might help to set up a number line.

This means we'd go for f = 49.15 and g = 7.85

The lower bound for f-g is f-g = 49.15-7.85 = 41.3

In contrast, the upper bound is when the two variables are spaced as far apart as possible. The upper bound is f-g = 49.25 - 7.75 = 41.5

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